How would formula change in Base 6?

Question

How would the following formulars change if we use a base 6 arabic number system?

• quadratic formula (=midnight formula)

• Einsteins e=mc^2

• pi

• circle A=pi*r^2

It would be counted like this: 0 1 2 3 4 5 10 11 12 13 14 15 20 21 22 23 24 25 30 31 32 33 34 35 40 41 42 43 44 45 50 51 52 53 54 55 100 101....

Answer 1

Short answer: They wouldn't change at all.

Answer 2

Formulas are independent from the base you use.

Every number will be converted correctly and properly, and thence you would keep using the same "old" formulas as always. What will change will be the involved numbers, not the formulas.

Answer 3

The representation of $\pi$ will change, but the value of $\pi$ will not change.

None of the formulae change.